contestada

A manufacturer of bolts has a​ quality-control policy that requires it to destroy any bolts that are more than 4 standard deviations from the mean. The​ quality-control engineer knows that the bolts coming off the assembly line have mean length of 15 cm with a standard deviation of 0.10 cm. For what lengths will a bolt be​ destroyed?

Respuesta :

Manetho

Answer:

more than 15.40 cm and less than  14.60 cm

Step-by-step explanation:

A manufacturer of bolts has a quality control policy that requires it destroy any bolts that are more than 4 standard deviations from the mean.

mean length= 15 cm

standard deviation= 0.10 cm

4 standard deviation from mean= 15±(4×0.10)

therefore, bolts of length more than 15+0.4, and less than 15-0.4 will be destroyed

= 15.40 cm and 14.60 cm

It can be concluded that bolts more than 15.4 cm and less than 14.96 cm will be destroyed and this can be determined by using the given data.

Given:

  • A manufacturer of bolts has a​ quality-control policy that requires it to destroy any bolts that are more than 4 standard deviations from the mean.
  • The​ quality-control engineer knows that the bolts coming off the assembly line have a mean length of 15 cm with a standard deviation of 0.10 cm.

According to the given data, destroy any bolts that are more than 4 standard deviations from the mean. So, the lengths will a bolt be destroyed is:

[tex]= 15\pm(4\times0.1)[/tex]

[tex]=15\pm 0.4[/tex]

So, it can be concluded that bolts more than 15.4 cm and less than 14.96 cm will be destroyed.

For more information, refer to the link given below:

https://brainly.com/question/11234923

Otras preguntas

Q&A Education